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Researcher · Steklov Mathematical Institute · Russia

Vladimir I. Arnold

Vladimir I. Arnold publishes mostly in Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics, on topics such as Advanced Differential Equations and Dynamical Systems, Mathematical Dynamics and Fractals and Mathematics and Applications.

OpenAlex
World rank
#206,579
of 7,710,434 ranked researchers
Rank in Russia
#421
of 179,717
Works
474
Citations
23k
Citations per work
48.6
h-index
62
i10-index 171Top 0.1% in Geometry and Topology
Vladimir I. Arnold

What does Vladimir I. Arnold research?

Vladimir I. Arnold's work is mostly in Mathematics (41%), Physics and Astronomy (11%), Computer Science (7%).

Physical Sciences: 281 works · 59.2% of their workMathematics: 195 works · 41.1% of their workGeometry and Topology: 82 works · 17.4% of their workMathematical Physics: 55 works · 11.7% of their workApplied Mathematics: 36 works · 7.5% of their workAlgebra and Number Theory: 21 works · 4.5% of their workPhysics and Astronomy: 50 works · 10.6% of their workStatistical and Nonlinear Physics: 50 works · 10.6% of their workComputer Science: 36 works · 7.5% of their workComputational Theory and Mathematics: 36 works · 7.5% of their workEverything else: 193 works · 40.8% of their workTHEIR WORKVladimir I.Arnold474works
Physical Sciences59%

Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.

The fields and subfields, with their numbers
    1. Mathematics19541.1%
    2. Physics and Astronomy5010.6%
    3. Computer Science367.5%
  2. Everything else19340.8%
  1. 1Geometry and Topology17% of their works
  2. 2Mathematical Physics12% of their works
  3. 3Statistical and Nonlinear Physics11% of their works
  4. 4Applied Mathematics8% of their works
  5. 5Computational Theory and Mathematics8% of their works
  6. 6Algebra and Number Theory4% of their works

Research topics

Which keywords describe Vladimir I. Arnold's research?

The keywords of their largest research topics: Dynamical Systems, Bifurcations, Planar Systems, Chaos, Fractals, Geometry, Hyperbolic and Lagrangian Coherent Structures.

Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.

All 17 words, with their numbers
  1. Dynamical Systems822 topics
  2. Bifurcations601 topic
  3. Planar Systems601 topic
  4. Chaos421 topic
  5. Fractals421 topic
  6. Geometry411 topic
  7. Hyperbolic411 topic
  8. Lagrangian Coherent Structures401 topic
  9. Quantum Chaos401 topic
  10. Deformation Quantization331 topic
  11. Poisson Manifolds331 topic
  12. Historical Sources321 topic
  13. Mathematics Education321 topic
  14. Heterogeneous261 topic
  15. Multiscale Methods261 topic
  16. Geometric Algebra211 topic
  17. Quaternionic Analysis211 topic

Where does Vladimir I. Arnold work?

Vladimir I. Arnold's main affiliation in the publication record is Steklov Mathematical Institute, Russia.

How many publications and citations does Vladimir I. Arnold have?

OpenAlex counts 474 works and 23,034 citations for Vladimir I. Arnold, an h-index of 62, ranking #206,579 of 7,710,434 researchers worldwide on the quality score.

Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.

Papers, co-authors, who cited this work and researchers on the nearest topics have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.

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